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4220114317 is a prime number
BaseRepresentation
bin1111101110001001…
…1101010110001101
3101220002220000112021
43323202131112031
532120322124232
61534431410141
7206402244166
oct37342352615
911802800467
104220114317
111876165391
12999383951
135233cc183
142c069076d
1519a754397
hexfb89d58d

4220114317 has 2 divisors, whose sum is σ = 4220114318. Its totient is φ = 4220114316.

The previous prime is 4220114293. The next prime is 4220114329. The reversal of 4220114317 is 7134110224.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3582501316 + 637613001 = 59854^2 + 25251^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4220114317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4220114291 and 4220114300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4220114917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2110057158 + 2110057159.

It is an arithmetic number, because the mean of its divisors is an integer number (2110057159).

Almost surely, 24220114317 is an apocalyptic number.

It is an amenable number.

4220114317 is a deficient number, since it is larger than the sum of its proper divisors (1).

4220114317 is an equidigital number, since it uses as much as digits as its factorization.

4220114317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 4220114317 is about 64962.4069520211. The cubic root of 4220114317 is about 1616.0001813803. Note that the first 3 decimals are identical.

The spelling of 4220114317 in words is "four billion, two hundred twenty million, one hundred fourteen thousand, three hundred seventeen".